On the nonlinear Volterra equation with conformable derivative

Öz

In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory. First, we show that our problem have a mild soltution which exists locally in time. Then we prove that the convergence of the mild solution when the parameter tends to zero.

Anahtar Kelimeler

• conformable differential equation
• memory term
• local existence
• Banach fixed point theorem

Proje Numarası

This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number C2022-44-12.

Kaynakça

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